Derivatives · Review Exercise 75

With the use of a graphing utility, use numerical or graphical evidence to determine the left- and right-hand limits of the function given as $x$ approaches $a.$ If the function has limit as $x$ approaches $a,$ state it. If not, discuss why there is no limit.

$f\left(x\right)=\{\begin{array}{ccc}\frac{1}{x+1},& if& x=-2\\ {\left(x+1\right)}^2,& if& x\ne -2\end{array}a=-2$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Precalculus 2e · §12.4 Derivatives · Review Exercise 75